If A, B and C together do a job in 4 days, A and C together do the job in 4.5 days and B and C together do the job in 12 days then in how many days can C alone do the job?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 18
Let the total work be 36 units
(A + B + C) can do 9 units/day .....(1)
(A + C) can do 8 units/day .....(2)
(B + C) can do 3 units/day .....(3)
from (1), (2) and (3), we get
B does 1unit/day and C does 2 units/day
So, C alone will do the work in time = (36/2) = 18 days